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138848872308741 = 32776120531410679
BaseRepresentation
bin11111100100100001000101…
…101101100010000000000101
3200012121211012122101221122200
4133210201011231202000011
5121144344442302334431
61211150142533345113
741150333331251130
oct3744410555420005
9605554178357580
10138848872308741
11402725266aa061
12136a5a12498199
135c6251436a89a
14264046d827217
15110bba018eee6
hex7e4845b62005

138848872308741 has 48 divisors (see below), whose sum is σ = 229623989986560. Its totient is φ = 79199299964160.

The previous prime is 138848872308739. The next prime is 138848872308743. The reversal of 138848872308741 is 147803278848831.

138848872308741 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 488 + 7 + 23 + 0 + 87 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (138848872308739) and next prime (138848872308743).

It is not a de Polignac number, because 138848872308741 - 21 = 138848872308739 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138848872308741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138848872308743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97721640 + ... + 99132318.

It is an arithmetic number, because the mean of its divisors is an integer number (4783833124720).

Almost surely, 2138848872308741 is an apocalyptic number.

It is an amenable number.

138848872308741 is a deficient number, since it is larger than the sum of its proper divisors (90775117677819).

138848872308741 is a wasteful number, since it uses less digits than its factorization.

138848872308741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413506 (or 1413503 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 138848872308741 in words is "one hundred thirty-eight trillion, eight hundred forty-eight billion, eight hundred seventy-two million, three hundred eight thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 63 761 2053 2283 5327 6159 6849 14371 15981 18477 43113 47943 129339 1410679 1562333 4232037 4686999 9874753 10936331 12696111 14060997 29624259 32808993 88872777 98426979 1073526719 2896123987 3220580157 7514687033 8688371961 9661740471 20272867909 22544061099 26065115883 60818603727 67632183297 182455811181 2203950354107 6611851062321 15427652478749 19835553186963 46282957436247 138848872308741